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Finding the Third Proportional to 31,103,638 and 67,867,232

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Solution

The third proportional to 31,103,638 and 67,867,232 is: 148,084,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,103,638 : 67,867,232 = 67,867,232 : x
  2. Step 2: Convert to fraction form
    31,103,638/67,867,232 = 67,867,232/x
  3. Step 3: Cross multiply
    31,103,638x = 67,867,232 × 67,867,232
  4. Step 4: Simplify right side
    31,103,638x = 4,605,961,179,341,824
  5. Step 5: Solve for x
    x = 4,605,961,179,341,824/31,103,638
  6. Step 6: Final answer
    x = 148,084,323.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.